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Finding the Fourth Proportional to 373.89, 561.74 and 297.15

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Solution

The fourth proportional to 373.89, 561.74 and 297.15 is: 446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.89 : 561.74 = 297.15 : x
  2. Step 2: Convert to fraction form
    373.89/561.74 = 297.15/x
  3. Step 3: Cross multiply
    373.89x = 561.74 × 297.15
  4. Step 4: Simplify right side
    373.89x = 166,921.04
  5. Step 5: Solve for x
    x = 166,921.04/373.89
  6. Step 6: Final answer
    x = 446.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.